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vampirchik [111]
3 years ago
14

Use linear Approximation to approximate e^.01

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0
<span>Suppose that:
let f(x) = e^x 

Suppose:
 a = 0 
</span>Now we are finding <span>f(a):</span><span>
f(a) = f(0) = 1 

f '(x) = e^x 
Now we are finding </span>f '(a):<span>
f '(a) = f '(0) = 1 
Putting the formula:
L(x) = f(a) + f '(a)( x - a) 

L(e^0.01) = 1 + 1(0.01 - 0) 

= 1.01 is the answer</span>
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see explanation

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